Top person sorted by normalized score

At this site we keep several lists of primes, most notably the list of the 5,000 largest known primes. Who found the most of these record primes? We keep separate counts for persons, projects and programs. To see these lists click on 'number' to the right.

Clearly one 100,000,000 digit prime is much harder to discover than quite a few 100,000 digit primes. Based on the usual estimates we score the top persons, provers and projects by adding ‎(log n)³ log log n‎ for each of their primes n. Click on 'score' to see these lists.

Finally, to make sense of the score values, we normalize them by dividing by the current score of the 5000th prime. See these by clicking on 'normalized score' in the table on the right.

normalized person primes score 259211 Luke Durant 1 58.0015 62367 Curtis Cooper 9 56.5769 56122 Patrick Laroche 1 56.4714 45722 Jonathan (Jon) Pace 1 56.2664 37437 Ryan Propper 355 56.0665 8788 Serge Batalov 388.333 54.6173 7692 Edson Smith 1 54.4841 7439 Odd Magnar Strindmo 1 54.4507 4882 Hans-Michael Elvenich 1 54.0294 2955 Steven R. Boone 1 53.5273 2853 Péter Szabolcs 1 53.4922 2709 Dr. James Scott Brown 190 53.4404 2527 Tom Greer 124 53.3709 1644 Anonymous Person(s) 226 52.9407 1631 Dr. Martin Nowak 1 52.9330 1423 Mark Williams 5 52.7967 1288 Josh Findley 1 52.6968 1116 Jonas Skendelis 1 52.5535 1090 Pavel Atnashev 8 52.5303 1088 Rob Gahan 31.5 52.5278

Notes:

normalized score

Just how do you make sense out of something as vague as our 'score' for primes? One possibility is to compare the amount of effort involved in earning that score, with the effort required to find the 5000th prime on the list. The normalized score does this: it is the number of primes that are the size of the 5000th, required to earn the same score (rounded to the nearest integer).

Note that if a person stops finding primes, its normalized score will steadily drop as the size of the 5000th primes steadily increases. The non-normalized scores drop too, but not as quickly because they only drop when the person's primes are pushed off the list.